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Finding the Third Proportional to 58,640 and 138,288

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Solution

The third proportional to 58,640 and 138,288 is: 326,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,640 : 138,288 = 138,288 : x
  2. Step 2: Convert to fraction form
    58,640/138,288 = 138,288/x
  3. Step 3: Cross multiply
    58,640x = 138,288 × 138,288
  4. Step 4: Simplify right side
    58,640x = 19,123,570,944
  5. Step 5: Solve for x
    x = 19,123,570,944/58,640
  6. Step 6: Final answer
    x = 326,118.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.